 10.6.1: Suppose that the ordered values in a random sample of five observat...
 10.6.2: Consider again the conditions of Exercise 1. Prove that Dn 0.2 if a...
 10.6.3: Use the data in Example 10.1.6. In that example, we used a 2 goodne...
 10.6.4: Use the KolmogorovSmirnov test to test the hypothesis that the 25 ...
 10.6.5: Use the KolmogorovSmirnov test to test the hypothesis that the 25 ...
 10.6.6: Consider again the conditions of Exercise 4 and 5. Suppose that the...
 10.6.7: Use the KolmogorovSmirnov test to test the hypothesis that the 50 ...
 10.6.8: Use the KolmogorovSmirnov test to test the hypothesis that the 50 ...
 10.6.9: Suppose that 25 observations are selected at random from a distribu...
 10.6.10: Consider again the conditions of Exercise 9. Let X denote a random ...
 10.6.11: Consider again the conditions of Exercises 9 and 10. Use the Kolmog...
 10.6.12: In Example 9.6.3, we compared two samples of aluminum oxide measure...
 10.6.13: Suppose that X1,...,Xn form a random sample with unknown c.d.f. F. ...
 10.6.14: Perform the KolmogorovSmirnov test of the null hypothesis in Examp...
Solutions for Chapter 10.6: Categorical Data and Nonparametric Methods
Full solutions for Probability and Statistics  4th Edition
ISBN: 9780321500465
Solutions for Chapter 10.6: Categorical Data and Nonparametric Methods
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Alias
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.

All possible (subsets) regressions
A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions

Alternative hypothesis
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test

Analytic study
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study

Bernoulli trials
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.

Bivariate distribution
The joint probability distribution of two random variables.

Bivariate normal distribution
The joint distribution of two normal random variables

Central tendency
The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.

Conditional variance.
The variance of the conditional probability distribution of a random variable.

Critical value(s)
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.

Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality

Designed experiment
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment

Error propagation
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.

Error sum of squares
In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a modelitting process and not on replication.

Error variance
The variance of an error term or component in a model.

Estimator (or point estimator)
A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.

Event
A subset of a sample space.

Exponential random variable
A series of tests in which changes are made to the system under study

F distribution.
The distribution of the random variable deined as the ratio of two independent chisquare random variables, each divided by its number of degrees of freedom.

Geometric mean.
The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .